GATE DA Question Papers with Solutions 2026 PDF Download

Paper Name

Data Science and Artificial Intelligence

Paper Code

DA

Conducting Body

IIT Guwahati

Mode of Examination

Computer-Based Test

Total Marks

100

Duration

3 Hours

Section-wise weightage

General Aptitude: 15 Marks

Subject Questions: 85 Marks

Question Types

MCQs, MSQs, NATs

GATE DA 2026 Question Paper

Link to be available soon

Chapter Name

2025

2024

Total

Percentage Distribution

Aptitude

10

10

20

15.38%

Artificial Intelligence(AI)

4

7

11

8.46%

Calculus and Optimization

6

5

11

8.46%

Database Management and Warehousing

7

4

11

8.46%

Linear Algebra

8

6

14

10.77%

Machine Learning

9

10

19

14.62%

Probability and Statistics

12

10

22

16.92%

Programming, Data Structures, and Algorithms

9

13

22

16.92%

Total

65

65

130

100.00%

Chapter Name

Topic Name

Count

Aptitude

Dice folding and visualization

2

Geometry – cross-section visualization

2

Graph coloring (minimum colors)

2

Inference from the passage

2

Infinite series sum

2

Permutations – divisibility

1

Permutations – Divisibility rule

1

Pie chart – percentage calculation

2

Probability of combinations (girls/boys)

1

Profit/Interest calculation (returns)

2

Verbal analogy

2

Aptitude Total

19

Artificial Intelligence

AI – Adversarial search (alpha-beta pruning)

1

AI – Heuristic admissibility (h1, h2)

1

AI – Search strategy (A*) and heuristic admissibility

1

Alpha-beta pruning in adversarial search

1

Bayesian network – conditional independence

1

Bayesian network – joint probability computation

1

BFS vs DFS – state expansion count

1

Logic representation – rugby and round balls

1

Neural network – weight equivalence

1

Propositional logic – tautology identification

1

Artificial Intelligence

11

Calculus and Optimization

Function continuity and differentiability (piecewise)

1

Limits and logarithmic expansion

1

Limits and logarithmic expansions

1

Local maxima/minima)

1

Local maxima/minima of a quartic polynomial

1

Logistic function derivative (0.4 value)

1

Optimization – function continuity and differentiability

1

Optimization – local minima (2nd derivative test)

2

Optimization – Taylor series and limits

1

Calculus and Optimization Total

10

Database Management and Warehousing

ER model – relational schema (DB constraints)

1

Functional dependencies (DB)

1

Functional dependencies (derivable attributes)

1

Normalization & z-score

1

Relational algebra – ensuring team members in defender/forward

1

Relational algebra – set operations (Team/Defender)

1

SQL – Index optimization (hash vs B+)

1

SQL indexing optimization (hash vs B+)

1

SQL query result count (joins with conditions)

1

Database Management and Warehousing Total

9

Linear Algebra

Determinant of M2+12MM^2+12M

1

Eigenvalues and matrix properties

1

Eigenvalues and signs of matrix

1

Eigenvalues of matrices

1

Eigenvalues, determinant, and matrix property

1

Matrix rank and nullity (subspaces)

1

Matrix solution scenarios (unique/infinite/none)

1

Matrix solutions (unique/infinite/no solutions)

1

Projection matrix properties

2

Python recursion & tree traversal

1

Singular values and sum

1

Singular values and their sum (SVD)

1

Subspaces of R3R^3

1

Subspaces of R3R^3R3

1

Vector subspace properties

1

Linear Algebra Total

16

Machine Learning

Clustering – single linkage algorithm

2

Clustering – single linkage algorithm

2

Fisher Linear Discriminant (between/within scatter matrices)

1

k-means clustering – point assignment

1

k-means clustering properties

2

k-NN classifier (minimum k for classification)

1

ML – Linear separability (2D datasets)

1

ML – Linear separability of datasets

3

Naive Bayes – number of parameters estimation

1

Neural network – weight equivalence (ReLU)

1

PCA, Naive Bayes, Logistic regression (classification of models)

1

SVM – support vectors

1

Machine Learning Total

17

Probability and Statistics

Binary search recurrence relation

1

Covariance between random variables

1

Dynamic programming (prefix computation)

1

Expected throws until two consecutive even outcomes

1

Logic – Propositional representation (balls/rugby)

1

Poisson distribution & Normal distribution properties

2

Probability – Bayes theorem

2

Probability – conditional expectation and variance

1

Probability – conditional/joint events

3

Probability – event intersection (T ∩ S)

1

Probability – expected value (die throws)

1

Probability – exponential distribution parameter

2

Probability – joint PDF and expectation

2

Probability – uniform distribution (X, Y)

1

Probability – uniform distributions

1

Probability – z-score normalization

1

Probability of combinations (girls/boys)

1

Python list reverse (recursion)

1

Sample mean update with new data

1

Sorting algorithms – bubble/insertion/selection passes

1

Probability and Statistics Total

26

AI – Heuristic admissibility (h1, h2)

1

Array prefix computation (dynamic programming)

1

Bayesian network joint probability

1

Binary search comparisons recurrence

1

Binary search complexity analysis

1

Binary tree node relationships (height, leaves)

1

Binary tree properties (height, nodes)

1

Covariance between random variables

1

DFS edge classification (tree/cross/back)

2

Double-ended queue operations (insert/remove)

1

k-NN classifier (minimum k for classification)

1

Python list reverse using recursion

1

Python recursion – counting tree nodes

1

Quicksort – swaps count

1

Relational algebra – SQL tuple verification

1

Sorting algorithms – bubble/insertion/selection passes

1

Sorting algorithms – bubble/insertion/selection passes

1

Topological sort of DAG

1

Topological sorting in DAG

1

Tree traversal combinations (preorder/inorder/postorder)

1

Uniform hashing – expected probes

1

Programming, Data Structures, and Algorithms Total

22

Grand Total

130

GATE 2024 Data Science and Artificial Intelligence Question Paper with Answer Key

GATE 2025 Data Science and Artificial Intelligence Question Paper with Answer Key